Mathematical model of the Space
9. Weight and energy
Mechanical
characteristics of a spherical wave are shown at interaction of sources of
spherical waves. Display of mechanical characteristics
are distances of movings of the centres of pulsations, or systems of coordinates in which
the given centre of pulsations is motionless, at displacement owing to influence
of a gravitational wave of other source.
Let's consider as an
example interaction of two P-0 with the periods of
pulsations Т1 and
Т2. For
simplification conditionally we shall accept, that during interaction their
phase does not change and corresponds t=0. The minimal distance up to which can
be pulled together P1-0 and P2-0, not cooperating between
itself in the weights which are taking place in a phase t=0 at a level of
density Р0, R =
C Т1 / 4
+ C Т2 / 4.
Radiuses of the compressed weight at this moment are equal R01 = C
Т1 / 4
and R02 = C Т2 / 4.
The density is equal a point of a contact
Р0 = 1/R01 Р1max = 1/R02
Р2max
(71)
or
4Р1max
/CТ1 =
4P2max /CТ2
Therefore
Р1max
/Р2max
=
R01/R02 = Т1/Т2
(72)
At rapproachement P1-0 and P2-0 on
smaller distance at the moment t=0 the maximal value of density in a point
laying on a plane of interaction, will be 2РR
РR = 1/R1 Р1max = 1/R2 Р2max
(73)
Where
R1 and R2 - distances from centres P1-0 and P2-0 up to a plane of
interaction.
From
here
Р1max
/Р2max
= R1
/R2 (74)
The force caused in
increased density in the field of interaction, cause movement P1-0
and P2-
Fig. 29
If to designate: t -
time of interaction, v1 - speed of moving P1-0,
v2 - speed of moving P2-0, М1 and М2
- values of observably weight P1-0 and P2-0, ΔR1 - distance of moving
P1-
Favt = М1v1 = М2v2
(75)
Here
Fav = Р avR , v1av = ΔR1 / t , v2av
= ΔR2 / t
,
Therefore,
М1 /
М2 =
ΔR2 /
ΔR1
(76)
But in
system of coordinates О1
ΔR1 =
R01 - R1, and in system of coordinates О2
ΔR2 =
R02 - R2, therefore according to (72) and
(74)
ΔR1 /
ΔR2 =
(R01 - R1) / (R02 - R2) =
(R02 T1 / T2 - R2 T1 /
T2) / (R02 - R2) = T1 /
T2
(77)
From
here follows, М1 /
М2 =
ΔR2 /
ΔR1 =
T2 / T1 .
This paradox arises if
to use relative system of coordinates at supervision of interaction of
structures of substance. At interaction of two elementary particles the density
of Vacuum in the field of interaction grows. Interaction of particles is fixed
from the moment of the beginning of interaction up to the moment of the
termination of rapproachement when the amplitude of
density of Vacuum in a plane of interaction will achieve the level of the
density, which have shown the reason of rapproachement. The distances of moving observably by the
person, correspond (77). Thus, the observably weight is proportional to a
steepness of front of a gravitational wave.
Weight P-0 can be
expressed through radius at t=0 or in length of a wave.
М = 1/R0
= 4/CT0 = 4/λ
(78)
Therefore in the considered example М1 = 4/CT1, а М2 = 4/CT2
.
If in
various directions the steepness of front of a wave of an elementary particle is
not identical, the observably weight can be expressed only by vector size.
If to consider
interaction of two P-
Change of density of
Vacuum in the centre of rotation of an electron, a positron and derivatives from
them particles as consequence of pump effect, results in deformation of units of
photons in their structures. The underpressure in the
centre of rotation of electron is higher (compression in the centre of rotation
of a positron), the degree of deformation of units,
less radial sizes of a particle there is more. At reduction of the radial sizes
angular speed of rotation grows. Electron is rotating mechanical system for
which expression of the module of the moment of pulse L =
meωr2.
From
here, radius of rotation
r = (L / meω)
0,5
(79)
Where
me - relative size of weight of Vacuum of units of electron,
ω – angular speed of
rotation.
Therefore at increase of angular speed of rotation the length of
electromagnetic waves of a particle accordingly decreases, and the amplitude of
density of Vacuum grows. The steepness of front of a gravitational wave and the
observably weight of a particle appropriate to it grows. If to accept radius of
rotation equal to half of length of a wave of an elementary particle r = λ/2
then from (79) follows
λ = 2(L / meω) 0,5
(80)
During integration of
electron in structure of a core of a nucleon the module of the moment of a pulse
does not change, energy of system of electron is saved constant. If λe - length of electromagnetic waves of electron,
λKn - length of electromagnetic waves of a
core of a nucleon, and observably weights of electron and a core of a nucleon -
Мe and МKn their attitude will be
Мe /
МKn = λKn / λe = ωe /
ωKn
(81)
As the
gradient of force is equal to peak density of Vacuum of unit at transformation
of electrons in a core of a nucleon the peak density will decrease. According to
(72)
Pe / PKn = TKn /
Te
(82)
And the
observably weight according to (78) will increase
MKn / Мe = TKn / Te = λe / λKn
(83)
Emitted particles of a
wave are generated by their units by dispersal of M+ and
M- of gravitational weight of Vacuum mg
frontal area of units from zero on an axis of movement of unit till the maximal
speed With at a zero phase of a wave in a point
separation waves from unit. Time of dispersal equally quarters of the period of
a wave of unit. Acceleration of movement of M+ and
M- on this site
ag =
Taking
into account that the quantity of movement of system of gravitational waves
during decrease of radius of rotation constant is saved, is possible to believe,
that the size of relocatable weight of Vacuum
mg will not change. Therefore the force creating acceleration of
moving can be expressed
F = mgag =
4mgC / T λ
(85)
The
pulse of force, or quantity of movement, will be
K = F Tλ / 4 = mgC
(86)
For an
electron
age =
Fe = 4mgC / T λe
For a
core of a nucleone
agKn =
FKn = 4mgC / T λKn
But for
both of them
K = mgC
Quantum
of energy, which will be received with gravitational weight during dispersal
till speed C for the period of time Tλ/4,
Eћ = F λ/4 = λmgC / T λ
(87)
Or,
having substituted λ = CT λ,
Eћ = mgC2
(88)
To
quantum of energy there corresponds quantum of time
tћ = Tλ / 4
(89)
The
quantum pulse of energy for the period of time t is equal
Eћt = Eћ t
(90)
Process of interaction
of units with dispersed gravitational weight is wave. The total pulse of force
of unit and gravitational weight is equal to zero, therefore К = mgC = mуC. Also it is necessary to take into
account, that according to the accepted expression of the characteristic of
weight of a particle mу = m.
The
Constant of Planck
corresponds to a total quantum pulse of energy of M+ and
M- for the period of a wave.
ћ = Eћ Tλ = λmC
(91)
Protons and electrons,
taking place on stationary orbits of atom, are connected between themselves
energetically in uniform system of the fields closed against each other. Quantized, energy of a radial negative field of electron moves in gravitational weight of Vacuum on a beam
of a proton and is absorbed by a proton via a positive disk field of its core.
Low-frequency electromagnetic waves of electron are modulated by high frequency
of a proton, getting quantization of the second level. Quantization of the
second level is carried out by units of a core of a nucleon, which inform
gravitational weight power pulses of frequency of a proton. Quantized, energy of
a radial negative field of a core of a proton moves in a direction of electron
and is absorbed by its positive axial field. There is a closed electromagnetic
field in which energy of Vacuum circulates quantized. The electron, taking place
on stationary environments of atom, have similar power communications also with
attics of protons. But these communications are weaker,
than communications with a core of a proton. It is caused very much by a high
tension of a positive disk field of a proton. Electromagnetic fields cooperating
of electrons and mesons have quantization with frequency of electron and with
frequency of meson.
If to consider system
closed against each other quantized, electromagnetic fields in absolute system
of coordinates it is possible to present wave system as superlight streams of a charge of Space. These streams
circulate in directions of spherical spirals of intensity electromagnetic waves.
Streams represent circulation of a charge, phase structure of Vacuum, uniting
thus elementary particles in structure of atom, a molecule, a crystal,
substance, objects of a macrocosm and the universe as a whole. In this system
all elementary particles are energetically interconnected. They belong to one
system of coordinates Space - time. In the same volume of Space there is an
infinite set of other systems of coordinates too interconnected energetically
Space - time. But they exchange energy only in a mode of time intervals less the
period of a wave. For the period of a wave the vector sum of an exchange by
energies is equal to
zero. This physical law underlies a principle of superposition of waves.
Differently, the quantum of energy of any level of one system has no for itself
a free niche in other system. Strictly speaking, such transitions are possible,
but they are carried out by Reason with use of energies ideas, which are not
connected to one of systems, and streams of a peak phase of Vacuum controlled by
it.
If the particle
cooperates as a unit the observably weight is defined by presence of internal
communications of structural elements. Influence on fields of any structural
element is distributed by superlight streams of
gravitational weights on all other structural elements connected to it. Such
complex particle can be submitted as set of identical simple particles with some
average equally effective weight. Such representation can be distributed to
nucleus, atoms, molecules, in general on macro skew fields, which are considered
as absolutely firm body. That is deformation of structural elements of it is not
taken into account.
Distances between
particles in a nuclear nucleus are defined by balance of forces of interaction
of the heteronymic fields working on rapproachement, and forces of interaction of the same fields
working on pushing away. The less than distance between
particles, the on more high level there is a balance of forces of interaction of
structural elements. Rapproachement of
elementary particles conducts to growth of absolute size Р0 of the same fields. Infringement of
balance of these forces, for example, by axial displacement of separate nucleons
at bombardment by neutrons, results in destruction of a nucleus and a start of
separate nucleons under action of forces of pushing away of the same
fields.
If two P-0, having
identical frequency and a phase at the moment t=0, were pulled together up to
distance centre to centre R1-2=1 (here 1 - the unit of measurements
of length aspiring to zero) symmetric deformation of their volumes during rapproachement cause doubling of density of weight in volume
of interaction. According to (10)
m0R = 2 mR =
2/R P max
Gradient
of force of interaction according to (11)
f0R = 2/R P max
Under
action of this force through time T/4 both P-0 will move in the opposite sides
with speeds C. The gradient of kinetic energy of each of them will
be
ERк = m0R
C2/2 = mR C2
(92)
From
here follows, that potential energy of everyone P-0 had such size at the moment
of time t=0. P-0, moving with speed C, has characteristics of a photon.
The physical body
consisting of set of elementary particles, having in total weight m, moving with
speed C has characteristics of a package of waves of photons. Its kinetic energy
in this period
E = m C2
(93)
The body
has such size of potential energy at the moment of a presence in the field of a
peak surface of a gravitational wave. In real conditions potential energy of a
body is lower size of total kinetic energy of movement of structural elements in
absolute system of coordinates.
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